please show work Consider utility rates 004kWh plus 7mo per

please show work

Consider utility rates: $0.04/kWh plus $7/mo per peak KVA. This is the highest demand of apparent power for the month. Suppose: consumption is 750 KVA during 720 hr month with peak of 1MVA. a. Calculate monthly bill for PF30.7 b. Calculate money to be saved by correcting PF to 0.9.

Solution

Ans)

a) PF=0.7

   Power Consumed=KVA*0.7=750*0.7=525 kW

Peak KVA=1MVA=1000 KVA

Monthly bill=(525*720*0.04)+(1000*7)=$22120

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b)

  PF=0.9

   Power Consumed=525 kW

   KVA=KW/PF=525/0.9=583.33 KVA

For peak KVA =1000 @PF=0.7 Power consumed=1000*0.7=700 kW

Now @0.9

Peak KVA=700/0.9=777.77 KVA

alternatively

Peak KVA=(525/0.9)*(1000/750)=777.77 KVA

Monthly bill=(525*720*0.04)+(777.77*7)=$20564.39

money saved =$22120-$20564.39=$1555.61

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